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Article

Qualitative Study of a Well-Stirred Isothermal Reaction Model

1
Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia
2
Department of Mathematics, Nazarbayev University, Nur-Sultan, Astana 010000, Kazakhstan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(6), 938; https://doi.org/10.3390/math8060938
Received: 29 April 2020 / Revised: 28 May 2020 / Accepted: 29 May 2020 / Published: 8 June 2020
(This article belongs to the Special Issue Qualitative Theory for Ordinary Differential Equations)
We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of the Jacobian matrix of the system at its fixed points. Moreover, we show that the system admits a supercritical Hopf bifurcation. View Full-Text
Keywords: limit cycle; Hopf bifurcation; stability; reaction kinetics limit cycle; Hopf bifurcation; stability; reaction kinetics
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MDPI and ACS Style

Arcet, B.; Dukarić, M.; Kadyrsizova, Z. Qualitative Study of a Well-Stirred Isothermal Reaction Model. Mathematics 2020, 8, 938. https://doi.org/10.3390/math8060938

AMA Style

Arcet B, Dukarić M, Kadyrsizova Z. Qualitative Study of a Well-Stirred Isothermal Reaction Model. Mathematics. 2020; 8(6):938. https://doi.org/10.3390/math8060938

Chicago/Turabian Style

Arcet, Barbara, Maša Dukarić, and Zhibek Kadyrsizova. 2020. "Qualitative Study of a Well-Stirred Isothermal Reaction Model" Mathematics 8, no. 6: 938. https://doi.org/10.3390/math8060938

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